{"id":366,"date":"2010-03-04T21:38:06","date_gmt":"2010-03-05T02:38:06","guid":{"rendered":"http:\/\/laprofematematica.com\/blog\/?p=366"},"modified":"2013-12-09T15:50:30","modified_gmt":"2013-12-09T20:50:30","slug":"%c2%bfcomo-desarrollar-una-inecuacion","status":"publish","type":"post","link":"https:\/\/laprofematematica.com\/blog\/%c2%bfcomo-desarrollar-una-inecuacion\/","title":{"rendered":"\u00bfC\u00f3mo desarrollar una inecuaci\u00f3n?"},"content":{"rendered":"<p class=\"MsoNormal\" style=\"margin: 0cm 0cm 0pt; text-align: justify;\"><span style=\"font-family: Arial;\"><span style=\"font-size: small;\">Para desarrollar una inecuaci\u00f3n debes observar que tipo de inecuaci\u00f3n tienes por resolver, es decir; si es lineal, cuadr\u00e1tica, de valor absoluto, doble o racional. Una vez identificado el tipo procedes a resolver, siempre el objetivo debe ser obtener el conjunto de valores de la variable que satisface a la inecuaci\u00f3n.<\/span><\/span><\/p>\n<p class=\"MsoNormal\" style=\"margin: 0cm 0cm 0pt;\"><span style=\"font-family: Arial;\"><span style=\"font-size: small;\">\u00a0<!--more--><\/span><\/span><\/p>\n<p><span style=\"font-family: Arial;\"><span style=\"font-size: small;\"><object classid=\"clsid:02bf25d5-8c17-4b23-bc80-d3488abddc6b\" width=\"200\" height=\"45\" codebase=\"http:\/\/www.apple.com\/qtactivex\/qtplugin.cab#version=6,0,2,0\"><param name=\"src\" value=\"http:\/\/www.tuexitoacademico.com\/podcast\/desarrollarinecuacion.mp3\" \/><embed type=\"video\/quicktime\" width=\"200\" height=\"45\" src=\"http:\/\/www.tuexitoacademico.com\/podcast\/desarrollarinecuacion.mp3\" autoplay=\"false\"><\/embed><\/object><br \/>\nSi la <a href=\"http:\/\/www.laprofematematica.com\/tutoriales\/inecuaciones\/curso-ine1.htm\" target=\"_blank\"><span style=\"color: #0000ff;\">inecuaci\u00f3n es lineal<\/span><\/a>, es decir; la variable tiene como mayor exponente el uno, procedes:<\/span><\/span><\/p>\n<p class=\"MsoNormal\" style=\"margin: 0cm 0cm 0pt 36pt; text-indent: -18pt; mso-list: l2 level1 lfo1; tab-stops: list 36.0pt;\"><span style=\"font-family: Arial; mso-fareast-font-family: Arial;\"><span style=\"mso-list: Ignore;\"><span style=\"font-size: small;\">1)<\/span><span style=\"font: 7pt &quot;Times New Roman&quot;;\">\u00a0\u00a0\u00a0\u00a0 <\/span><\/span><\/span><span style=\"font-family: Arial;\"><span style=\"font-size: small;\">Pasar a un lado de la desigualdad los t\u00e9rminos semejantes de la variable y al otro lado los t\u00e9rminos independiente. Siempre con la operaci\u00f3n contraria.<\/span><\/span><\/p>\n<p class=\"MsoNormal\" style=\"margin: 0cm 0cm 0pt 36pt; text-indent: -18pt; mso-list: l2 level1 lfo1; tab-stops: list 36.0pt;\"><span style=\"font-family: Arial; mso-fareast-font-family: Arial;\"><span style=\"mso-list: Ignore;\"><span style=\"font-size: small;\">2)<\/span><span style=\"font: 7pt &quot;Times New Roman&quot;;\">\u00a0\u00a0\u00a0\u00a0 <\/span><\/span><\/span><span style=\"font-family: Arial;\"><span style=\"font-size: small;\">Realizar suma algebraica entre los t\u00e9rminos de cada miembro.<\/span><\/span><\/p>\n<p class=\"MsoNormal\" style=\"margin: 0cm 0cm 0pt 36pt; text-indent: -18pt; mso-list: l2 level1 lfo1; tab-stops: list 36.0pt;\"><span style=\"font-family: Arial; mso-fareast-font-family: Arial;\"><span style=\"mso-list: Ignore;\"><span style=\"font-size: small;\">3)<\/span><span style=\"font: 7pt &quot;Times New Roman&quot;;\">\u00a0\u00a0\u00a0\u00a0 <\/span><\/span><\/span><span style=\"font-family: Arial;\"><span style=\"font-size: small;\">Despejar la variable, es decir; si tiene coeficiente pasarlo al otro miembro con operaci\u00f3n contraria. (si multiplica divide, se divide multiplica)<\/span><\/span><\/p>\n<p class=\"MsoNormal\" style=\"margin: 0cm 0cm 0pt;\"><span style=\"font-family: Arial;\"><span style=\"font-size: small;\">\u00a0<a href=\"http:\/\/laprofematematica.com\/blog\/?attachment_id=369\"><img fetchpriority=\"high\" decoding=\"async\" class=\"aligncenter size-medium wp-image-369\" title=\"inecuaciones-lineales\" src=\"http:\/\/laprofematematica.com\/blog\/wp-content\/uploads\/2010\/03\/inecuaciones-lineales-300x210.jpg\" alt=\"inecuaciones-lineales\" width=\"300\" height=\"210\" srcset=\"https:\/\/laprofematematica.com\/blog\/wp-content\/uploads\/2010\/03\/inecuaciones-lineales-300x210.jpg 300w, https:\/\/laprofematematica.com\/blog\/wp-content\/uploads\/2010\/03\/inecuaciones-lineales.jpg 972w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/a><\/span><\/span><\/p>\n<p class=\"MsoNormal\" style=\"margin: 0cm 0cm 0pt;\"><span style=\"font-family: Arial;\"><span style=\"font-size: small;\">Si la ecuaci\u00f3n es<span style=\"color: #0000ff;\"> <\/span><a href=\"http:\/\/www.laprofematematica.com\/tutoriales\/inecuaciones\/curso-ine5.htm\" target=\"_blank\"><span style=\"color: #0000ff;\">cuadr\u00e1tica<\/span><\/a>, procede:<\/span><\/span><\/p>\n<p class=\"MsoNormal\" style=\"margin: 0cm 0cm 0pt 36pt; text-indent: -18pt; mso-list: l0 level1 lfo2; tab-stops: list 36.0pt;\"><span style=\"font-family: Arial; mso-fareast-font-family: Arial;\"><span style=\"mso-list: Ignore;\"><span style=\"font-size: small;\">1)<\/span><span style=\"font: 7pt &quot;Times New Roman&quot;;\">\u00a0\u00a0\u00a0\u00a0 <\/span><\/span><\/span><span style=\"font-family: Arial;\"><span style=\"font-size: small;\">Encuentra las ra\u00edces de la ecuaci\u00f3n cuadr\u00e1tica.<\/span><\/span><\/p>\n<p class=\"MsoNormal\" style=\"margin: 0cm 0cm 0pt 36pt; text-indent: -18pt; mso-list: l0 level1 lfo2; tab-stops: list 36.0pt;\"><span style=\"font-family: Arial; mso-fareast-font-family: Arial;\"><span style=\"mso-list: Ignore;\"><span style=\"font-size: small;\">2)<\/span><span style=\"font: 7pt &quot;Times New Roman&quot;;\">\u00a0\u00a0\u00a0\u00a0 <\/span><\/span><\/span><span style=\"font-family: Arial;\"><span style=\"font-size: small;\">Repres\u00e9ntalas en una recta real<\/span><\/span><\/p>\n<p class=\"MsoNormal\" style=\"margin: 0cm 0cm 0pt 36pt; text-indent: -18pt; text-align: justify; mso-list: l0 level1 lfo2; tab-stops: list 36.0pt;\"><span style=\"font-family: Arial; mso-fareast-font-family: Arial;\"><span style=\"mso-list: Ignore;\"><span style=\"font-size: small;\">3)<\/span><span style=\"font: 7pt &quot;Times New Roman&quot;;\">\u00a0\u00a0\u00a0\u00a0 <\/span><\/span><\/span><span style=\"font-family: Arial;\"><span style=\"font-size: small;\">Toma un valor de cada intervalo y pru\u00e9balo con la inecuaci\u00f3n si cumple, entonces encontraste un intervalo que satisface la inecuaci\u00f3n, repite el paso 3 en todos los intervalos.<\/span><\/span><\/p>\n<p class=\"MsoNormal\" style=\"margin: 0cm 0cm 0pt;\"><span style=\"font-family: Arial;\"><span style=\"font-size: small;\">\u00a0<a href=\"http:\/\/laprofematematica.com\/blog\/?attachment_id=368\"><img decoding=\"async\" class=\"aligncenter size-medium wp-image-368\" title=\"inecuaciones-cuadra\" src=\"http:\/\/laprofematematica.com\/blog\/wp-content\/uploads\/2010\/03\/inecuaciones-cuadra-300x187.jpg\" alt=\"inecuaciones-cuadra\" width=\"300\" height=\"187\" srcset=\"https:\/\/laprofematematica.com\/blog\/wp-content\/uploads\/2010\/03\/inecuaciones-cuadra-300x187.jpg 300w, https:\/\/laprofematematica.com\/blog\/wp-content\/uploads\/2010\/03\/inecuaciones-cuadra.jpg 908w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/a><\/span><\/span><\/p>\n<p class=\"MsoNormal\" style=\"margin: 0cm 0cm 0pt;\"><span style=\"font-family: Arial;\"><span style=\"font-size: small;\">Si la ecuaci\u00f3n es de valor absoluto, debes aplicar las propiedades de <a href=\"http:\/\/www.laprofematematica.com\/tutoriales\/inecuaciones\/curso-ine3.htm\" target=\"_blank\"><span style=\"color: #0000ff;\">valor absoluto<\/span><\/a>, lo que te genera dos inecuaciones, generalmente lineales.<\/span><\/span><\/p>\n<p class=\"MsoNormal\" style=\"margin: 0cm 0cm 0pt 36pt; text-indent: -18pt; mso-list: l1 level1 lfo3; tab-stops: list 36.0pt;\"><span style=\"font-family: Arial;\"><span style=\"font-size: small;\"><a href=\"http:\/\/laprofematematica.com\/blog\/?attachment_id=370\"><img decoding=\"async\" class=\"aligncenter size-medium wp-image-370\" title=\"inecuacion-valor\" src=\"http:\/\/laprofematematica.com\/blog\/wp-content\/uploads\/2010\/03\/inecuacion-valor-300x270.jpg\" alt=\"inecuacion-valor\" width=\"300\" height=\"270\" srcset=\"https:\/\/laprofematematica.com\/blog\/wp-content\/uploads\/2010\/03\/inecuacion-valor-300x270.jpg 300w, https:\/\/laprofematematica.com\/blog\/wp-content\/uploads\/2010\/03\/inecuacion-valor.jpg 738w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/a>\u00a0<\/span><\/span><\/p>\n<p class=\"MsoNormal\" style=\"margin: 0cm 0cm 0pt;\"><span style=\"font-family: Arial;\"><span style=\"font-size: small;\">Si la Inecuaci\u00f3n es doble, debes identificar una primera inecuaci\u00f3n y una segunda inecuaci\u00f3n, para luego desarrollarla como lineal o cuadr\u00e1tica dependido.<\/span><\/span><\/p>\n<p class=\"MsoNormal\" style=\"margin: 0cm 0cm 0pt;\"><span style=\"font-family: Arial;\"><span style=\"font-size: small;\">\u00a0<\/span><\/span><\/p>\n<p class=\"MsoNormal\" style=\"margin: 0cm 0cm 0pt; text-align: justify;\"><span style=\"font-family: Arial;\"><span style=\"font-size: small;\">Si la inecuaci\u00f3n es racional debes trabajar toda la expresi\u00f3n de forma de expresarla mayor o menor a cero, es decir, debes cambar todos los t\u00e9rminos a un solo miembro de la inecuaci\u00f3n. Para luego, analizar las ra\u00edces y evaluar la expresi\u00f3n en valores tomados al azar y ver el comportamiento de la inecuaci\u00f3n<\/span><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Para desarrollar una inecuaci\u00f3n debes observar que tipo de inecuaci\u00f3n tienes por resolver, es decir; si es lineal, cuadr\u00e1tica, de valor absoluto, doble o racional. Una vez identificado el tipo procedes a resolver, siempre el objetivo debe ser obtener el conjunto de valores de la variable que satisface a la inecuaci\u00f3n. \u00a0<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[16,45],"tags":[40,102],"class_list":["post-366","post","type-post","status-publish","format-standard","hentry","category-inecuaciones","category-matematica","tag-cuadraticas","tag-ejercicios-inecuaciones"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.3 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>\u00bfC\u00f3mo desarrollar una inecuaci\u00f3n? -<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/laprofematematica.com\/blog\/\u00bfcomo-desarrollar-una-inecuacion\/\" \/>\n<meta property=\"og:locale\" content=\"es_ES\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u00bfC\u00f3mo desarrollar una inecuaci\u00f3n? -\" \/>\n<meta property=\"og:description\" content=\"Para desarrollar una inecuaci\u00f3n debes observar que tipo de inecuaci\u00f3n tienes por resolver, es decir; si es lineal, cuadr\u00e1tica, de valor absoluto, doble o racional. 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